Strachan managed Celtic from 2005 to 2009 and was approached by the Scottish side in September.
“Gordon is someone I respect totally and he wasn’t averse to the idea but it never materialised,” said Lennon.
“It was an idea that we’ve bounced around for quite a while. We were pretty close to it.
“But it was almost eight weeks ago now that the decision was made, and we’ve moved on since then.
“It is something that I’m not averse to, depending on who it is and whether the circumstances are right and whether we feel we need it.”